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5749040 = 2451147139
BaseRepresentation
bin10101111011100100110000
3101211002012102
4111323210300
52432432130
6323115532
766603023
oct25734460
911732172
105749040
113277380
121b12ba8
1312639cb
14a991ba
15788645
hex57b930

5749040 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2031360.

The previous prime is 5749033. The next prime is 5749091. The reversal of 5749040 is 409475.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5748994 and 5749012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41291 + ... + 41429.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 25749040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

5749040 is an abundant number, since it is smaller than the sum of its proper divisors (9250000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5749040 is a wasteful number, since it uses less digits than its factorization.

5749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5749040 is about 2397.7155794631. The cubic root of 5749040 is about 179.1424227757.

The spelling of 5749040 in words is "five million, seven hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 139 176 188 220 235 278 376 440 470 517 556 695 752 880 940 1034 1112 1390 1529 1880 2068 2224 2585 2780 3058 3760 4136 5170 5560 6116 6533 7645 8272 10340 11120 12232 13066 15290 20680 24464 26132 30580 32665 41360 52264 61160 65330 71863 104528 122320 130660 143726 261320 287452 359315 522640 574904 718630 1149808 1437260 2874520 5749040